12791628 has 48 divisors (see below), whose sum is σ = 33586560. Its totient is φ = 4209552.

The previous prime is 12791627. The next prime is 12791659. The reversal of 12791628 is 82619721.

12791628 is a `hidden beast` number, since 1 + 27 + 9 + 1 + 628 = 666.

12791628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12791592 and 12791601.

It is not an unprimeable number, because it can be changed into a prime (12791621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8251 + ... + 9677.

It is an arithmetic number, because the mean of its divisors is an integer number (699720).

Almost surely, 2^12791628 is an apocalyptic number.

12791628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12791628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793280).

12791628 is an abundant number, since it is smaller than the sum of its proper divisors (20794932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12791628 is a wasteful number, since it uses less digits than its factorization.

12791628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1515 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12791628 is about 3576.5385500509. The cubic root of 12791628 is about 233.8704081913.

The spelling of 12791628 in words is "twelve million, seven hundred ninety-one thousand, six hundred twenty-eight".